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What are the answers

What are the answers-example-1
User Jurgen
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1. a. The ratio of white squares to grey squares is 40:60. b. The number of white squares is 2/5. c. The fraction of squares is 60%. 2. Equivalent ratios: a) 6:8 c) 12:16 d) 15:20. 3. The completed terms will be: a) 3:6 = 2: 4 b) 4:10 = 6: 15 c)
\((2)/(5) = (6)/(15)\) d)
\((16)/(24) = (4)/(6)\) e) 5:15 = 1:3 f) 4:1 = 32:8 g) 14:7 = 6:3 h) 10:2 = 3:6

1. There are a total of 100 squares in the image, of which 60 are grey and 40 are white. Therefore, the ratio of white squares to grey squares is 40:60, which can be simplified to 2:3.

To calculate the fraction of squares that are white, we divide the number of white squares by the total number of squares: 40/100 = 2/5.

To calculate the percentage of squares that are grey, we multiply the fraction of squares that are grey by 100: 60/100 * 100 = 60%.

Therefore, the answers to the questions in the image are:

a) 40:60

b) 2/5

c) 60%

2. To determine equivalent ratios, simplify each ratio by finding the greatest common factor (GCF) of the two numbers and dividing both parts by it.

a) 6:8 - GCF is 2. Simplified ratio is 3:4.

b) 9:15 - GCF is 3. Simplified ratio is 3:5.

c) 12:16 - GCF is 4. Simplified ratio is 3:4.

d) 15:20 - GCF is 5. Simplified ratio is 3:4.

Therefore, the equivalent ratios are:

a) 3:4

c) 3:4

d) 3:4

3) Let's find the missing terms in each given ratio:

a)
\(3:6 = 2: \_\_\)

The missing term is 4 because
\(3 * 2 = 6 * 2 = 2 * 4\).

b)
\(4:10 = \_\_\: 15\)

The missing term is 6 because
\(4 * 3 = 10 * 1 = 6 * 5\).

c)
\((2)/(5) = (6)/(\_\_)\)

The missing term is 15 because
\((2)/(5) * 15 = 6\).

d)
\((16)/(24) = (\_\_)/(6)\)

The missing term is 4 because
\((16)/(24) = (4)/(6)\).

e)
\(5:15 = \_\_\:3\)

The missing term is 1 because
\(5 / 5 = 15 / 15 = 1 / 3\).

f)
\(4:1 = 32:\_\_\)

The missing term is 8 because
\(4 * 8 = 32 * 1\).

g)
\(14:7 = 6:\_\_\)

The missing term is 3 because
\(14 / 2 = 7 / 3 = 6 / 1\).

h)
\(10:2 = \_\_\:6\)

The missing term is 3 because
\(10 / 2 = 2 / 6 = 3 / 1\).

User Erik Engbrecht
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